3471111440 has 80 divisors (see below), whose sum is σ = 8185659120. Its totient is φ = 1368729600.

The previous prime is 3471111437. The next prime is 3471111473. The reversal of 3471111440 is 441111743.

3471111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 139051264 + 3332060176 = 11792^2 + 57724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3471111440² = 24097229257797747200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172722 + ... + 2174318.

It is an arithmetic number, because the mean of its divisors is an integer number (102320739).

Almost surely, 2^3471111440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3471111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092829560).

3471111440 is an abundant number, since it is smaller than the sum of its proper divisors (4714547680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3471111440 is a wasteful number, since it uses less digits than its factorization.

3471111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 3471111440 is about 58916.1390452565. The cubic root of 3471111440 is about 1514.1056694516.

The spelling of 3471111440 in words is "three billion, four hundred seventy-one million, one hundred eleven thousand, four hundred forty".